Hilbert functions of Cohen-Macaulay integral domains and chain conditions of finite partially ordered sets

DOI10.1016/0022-4049(91)90065-AzbMath0735.13009MaRDI QIDQ1176695

Takayuki Hibi

Publication date: 25 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Hilbert seriesgraded Cohen-Macaulay domains

Mathematics Subject Classification ID

Partial orders, general (06A06) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Integral domains (13G05)

Related Items

The join-meet ideal of a finite lattice, Singularities of toric varieties associated with finite distributive lattices, Regularity of join-meet ideals of distributive lattices, Chain algebras of finite distributive lattices, Linear and nonlinear inequalities concerning a certain combinatorial sequence which arises from counting the number of chains of a finite distributive lattice, Divisor class groups of affine semigroup rings associated with distributive lattices, Linear extensions of ranked posets, enumerated by descents. A problem of Stanley from the 1981 Banff conference on ordered sets, Flawless O-sequences and Hilbert functions of Cohen-Macaulay integral domains

Cites Work

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• Some results on Ehrhart polynomials of convex polytopes
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• Hilbert functions of graded algebras
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Canonical ideals of Cohen-Macaulay partially ordered sets
• The Upper Bound Conjecture and Cohen-Macaulay Rings
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
• Ordered structures and partitions